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Finding the Fourth Proportional to 582,424.68, 803,744.41 and 327,775.86

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Solution

The fourth proportional to 582,424.68, 803,744.41 and 327,775.86 is: 452,329.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,424.68 : 803,744.41 = 327,775.86 : x
  2. Step 2: Convert to fraction form
    582,424.68/803,744.41 = 327,775.86/x
  3. Step 3: Cross multiply
    582,424.68x = 803,744.41 × 327,775.86
  4. Step 4: Simplify right side
    582,424.68x = 263,448,015,207.94
  5. Step 5: Solve for x
    x = 263,448,015,207.94/582,424.68
  6. Step 6: Final answer
    x = 452,329.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.